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Finding the Fourth Proportional to 5,322.48, 7,980.57 and 1,811.22

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Solution

The fourth proportional to 5,322.48, 7,980.57 and 1,811.22 is: 2,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.48 : 7,980.57 = 1,811.22 : x
  2. Step 2: Convert to fraction form
    5,322.48/7,980.57 = 1,811.22/x
  3. Step 3: Cross multiply
    5,322.48x = 7,980.57 × 1,811.22
  4. Step 4: Simplify right side
    5,322.48x = 14,454,568.00
  5. Step 5: Solve for x
    x = 14,454,568.00/5,322.48
  6. Step 6: Final answer
    x = 2,715.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.